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Finding the Fourth Proportional to 47,527.84, 65,592.72 and 27,652

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Solution

The fourth proportional to 47,527.84, 65,592.72 and 27,652 is: 38,162.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,527.84 : 65,592.72 = 27,652 : x
  2. Step 2: Convert to fraction form
    47,527.84/65,592.72 = 27,652/x
  3. Step 3: Cross multiply
    47,527.84x = 65,592.72 × 27,652
  4. Step 4: Simplify right side
    47,527.84x = 1,813,769,893.44
  5. Step 5: Solve for x
    x = 1,813,769,893.44/47,527.84
  6. Step 6: Final answer
    x = 38,162.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.